Useful info - thanks. I have often speculated whether I could use a LWIR camera to see a CO2 laser beam in a similar way that we can see eg a red laser pointer beam path thanks to scattering from dust particles etc. But I've never really thought about using a camera for beam profiling, leastways not in terms of focusing an image onto a sensor array. Instead, I suspect I'd use a high(ish) thermal conductivity target and image the temperature change on that, thereby reducing the energy incident on the sensor by many orders of magnitude. It'd still be 'bright', though.
The quoted damage threshold for the sensor in the DataRay camera is stated as "few hundred mW/cm2". The saturation level is 50mW/cm2 and elsewhere it states that damage occurs at about 20 times that level, ie 1W/cm2, though personally I'd use the lower limit as a guide. Let's say 250mW/cm2 for the sake of argument.
Assuming a 40W CO2 laser from a desktop cutter and a perfect flat-top beam profile (which it won't be but I'm only estimating here), 40W/(250mWcm2)=160cm2, or a beam about 15mm or so diameter. In the real world of course the beam wouldn't be flat-top and I wouldn't want to put anything less than about 25mm diameter anywhere near anything electronic I cared about. In order to make useful measurements (power <50mW/cm2) the beam diameter would need to be nearer 50 to 75mm diameter, still not allowing for its irregular profile.